Amid an unprecedented level of concern about the threat of terrorism surrounding the Sochi Olympics, IOC president Thomas Bach expressed "full confidence" in Russia's ability to deliver a safe Games.

Questioned about security issues, as well as allegations about corruption, overspending and Russia's anti-gay laws, Bach was asked which concern keeps him up at night.

"Sorry to tell you I'm sleeping very well," Bach told reporters Monday. "Fear is a very bad advisor. I am really looking forward to first Winter Games under my presidency. I'm very confident they will be very successful.

"The Olympic atmosphere is building up," he said, praising the facilities and the fact that almost 80% of all athletes can walk from their bed in the Olympic Village to their competition venue. At many of the past Games, the Olympic Village hasn't been as convenient to competition venues.

Bach also addressed allegations that 10 of the venues built for the Games cost twice as much as originally budgeted. It's the latest in a series of corruption claims.

"We are standing against any form of corruption and whenever there have been concrete accusations, they have been passed on to the organizing committee," he said.

He even praised the weather, which has long been a concern given the mild conditions. "More snow is expected at the end of the week," he said. "Overall, we can say Sochi is ready to welcome the best winter athletes in the world."